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Finding the Fourth Proportional to 30,678.69, 46,018.09 and 8,492.13

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Solution

The fourth proportional to 30,678.69, 46,018.09 and 8,492.13 is: 12,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.69 : 46,018.09 = 8,492.13 : x
  2. Step 2: Convert to fraction form
    30,678.69/46,018.09 = 8,492.13/x
  3. Step 3: Cross multiply
    30,678.69x = 46,018.09 × 8,492.13
  4. Step 4: Simplify right side
    30,678.69x = 390,791,393.77
  5. Step 5: Solve for x
    x = 390,791,393.77/30,678.69
  6. Step 6: Final answer
    x = 12,738.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.